Results 71 to 80 of about 33,621 (316)

A Min-Max theorem about the Road Coloring Conjecture [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
The Road Coloring Conjecture is an old and classical conjecture e posed in Adler and Weiss (1970); Adler et al. (1977). Let $G$ be a strongly connected digraph with uniform out-degree $2$.
Rajneesh Hegde, Kamal Jain
doaj   +1 more source

Vertex-Coloring Edge-Weighting of Bipartite Graphs with Two Edge Weights [PDF]

open access: yes, 2013
Let $G$ be a graph and $\mathcal {S}$ be a subset of $Z$. A vertex-coloring $\mathcal {S}$-edge-weighting of $G$ is an assignment of weight $s$ by the elements of $\mathcal {S}$ to each edge of $G$ so that adjacent vertices have different sums of ...
Lu, Hongliang
core  

Harnessing Outer Space for Improved Electrocaloric Cooling

open access: yesAdvanced Functional Materials, EarlyView.
A novel radiative heat sink/source‐integrated electrocaloric (R‐iEC) system combines the electrocaloric (EC) effect with a thermally conductive radiative cooler (TCRC) to address heat dissipation limitations in EC devices. Utilizing outer space as a heat sink, the system achieves up to 240 W m−2 of heat dissipation performance, making it highly ...
Dong Hyun Seo   +8 more
wiley   +1 more source

On Local Antimagic b-Coloring and Its Application for STGNN Time Series Forecasting on Horizontal Farming

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi
This article discusses a local antimagic coloring which is a combination between antimagic labeling and coloring. It is a new notion. We define a vertex weight of  as  where  is the set of edges incident to .
R. Sunder   +5 more
doaj   +1 more source

Cartesian积与邻点可区别着色之间的关系(Relation between Cartesian product and adjacent vertex distinguishing coloring)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2017
A proper k-edge coloring of a graph G is an assignment of k colors 1, 2, …, k to edges of G such that any two adjacent edges receive the different colors.
WANGGuoxing(王国兴)
doaj   +1 more source

Data Reduction for Graph Coloring Problems

open access: yes, 2013
This paper studies the kernelization complexity of graph coloring problems with respect to certain structural parameterizations of the input instances. We are interested in how well polynomial-time data reduction can provably shrink instances of coloring
Bart M.P. Jansen   +30 more
core   +1 more source

Photothermal Hydrogel with Mn3O4 Nanoparticles Alleviates Intervertebral Disc Degeneration by Scavenging ROS and Regulating Extracellular Matrix Metabolism

open access: yesAdvanced Functional Materials, EarlyView.
The MPTT‐nanozyme‐hydrogel system (Mn3O4@ChS‐HA) provides a multifunctional therapeutic strategy for intervertebral disc degeneration (IVDD), effectively targeting oxidative stress and enhancing AF repair by restoring extracellular matrix (ECM) and redox homeostasis.
Yangyang Chen   +13 more
wiley   +1 more source

Game Chromatic Number of Tadpole Graph, Broom Graph, and Tribune Graph

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
Graph coloring game is one of application in graph theory. The goal in this article is determine game chromatic number of tadpole graph, broom graph, and tribune graph.
Fransiskus Fran, M Luthfi Abdurahman
doaj   +1 more source

On vertex b-critical trees [PDF]

open access: yesOpuscula Mathematica, 2013
A b-coloring is a proper coloring of the vertices of a graph such that each color class has a vertex that has neighbors of all other colors. The b-chromatic number of a graph G is the largest k such that G admits a b-coloring with k colors.
Mostafa Blidia   +2 more
doaj   +1 more source

On the Total Set Chromatic Number of Graphs

open access: yesTheory and Applications of Graphs, 2022
Given a vertex coloring c of a graph, the neighborhood color set of a vertex is defined to be the set of all of its neighbors’ colors. The coloring c is called a set coloring if any two adjacent vertices have different neighborhood color sets.
Mark Anthony C. Tolentino   +2 more
doaj   +1 more source

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